Difference between revisions of "2007 iTest Problems/Problem 1"
(see also) |
(→See Also) |
||
| Line 13: | Line 13: | ||
==See Also== | ==See Also== | ||
| − | {{iTest box|before=First | + | {{iTest box|year=2007|before=First Question|num-a=2}} |
[[Category:Introductory Number Theory Problems]] | [[Category:Introductory Number Theory Problems]] | ||
Revision as of 09:51, 16 December 2007
Problem
A twin prime pair is a set of two primes 
such that 
is 
greater than 
. What is the arithmetic mean of the two primes in the smallest twin prime pair?
Solution
We consider the first few primes.
. 
isn't a prime, so this isn't a set of twin primes.
. 
is a prime, so the answer is 
.
Alternate Solution
Seeing as 
is the only choice, we determine that the answer is 
.
See Also
| 2007 iTest (Problems, Answer Key) | ||
| Preceded by: First Question |
Followed by: Problem 2 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 • 51 • 52 • 53 • 54 • 55 • 56 • 57 • 58 • 59 • 60 • TB1 • TB2 • TB3 • TB4 | ||
